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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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406 Chapter 11<br />

one needs to produce the heavy elements in the observed proportions,<br />

and with a total amount compatible with a plausible galactic history.<br />

It h<strong>as</strong> long been held that the r-process elements were made in SN<br />

explosions; in this c<strong>as</strong>e one needs a yield of about 10 −4 M ⊙ of heavy<br />

elements per SN.<br />

Perhaps the first realistic scenario that appears to meet these requirements<br />

is r-process nucleosynthesis in the hot bubble between a<br />

protoneutron star and the escaping shock wave in a core-collapse SN<br />

explosion at a time of a few seconds after core bounce (Woosley and<br />

Hoffmann 1992; Meyer et al. 1992; Woosley et al. 1994; Witti, Janka,<br />

and Takah<strong>as</strong>hi 1994; Takah<strong>as</strong>hi, Witti, and Janka 1994; Meyer 1995).<br />

The material in this region is very dilute because of the successful explosion,<br />

yet very hot—around 10 9 K or 100 keV in the region where the<br />

r-process is thought to occur. This hot bubble is not entirely empty<br />

because of a neutrino-driven stellar wind. There<strong>for</strong>e, one is talking<br />

about a high-entropy environment (a few hundred k B per baryon), i.e.<br />

a large number of photons per baryon (a few ten). For such conditions<br />

the required neutron/proton ratio is achieved even <strong>for</strong> electron<br />

fractions of Y e ≈ 0.40 typical <strong>for</strong> the material outside of a collapsed<br />

SN core.<br />

This scenario appears to be qualitatively and quantitatively almost<br />

perfect except that the necessary combination of entropy, electron fraction<br />

Y e , and expansion time scale do not seem to be quite born out by<br />

current numerical calculations. Whatever the explanation of this problem,<br />

it is f<strong>as</strong>cinating that both the occurrence of a successful and sufficiently<br />

energetic SN explosion <strong>as</strong> well <strong>as</strong> the occurrence of the r-process<br />

in the high-entropy environment of the “hot bubble” seem to depend<br />

crucially on the neutrino energy transfer which thus plays a dominant<br />

role in this scenario. One may expect that r-process nucleosynthesis will<br />

turn into a tool to calibrate the neutrino flux from a n<strong>as</strong>cent neutron<br />

star, and perhaps into a tool to study nonstandard neutrino properties<br />

(<strong>for</strong> a first example see Sect. 11.4.5). In effect, the distribution and<br />

quantity of r-process elements gives us a me<strong>as</strong>ure of SN neutrino fluxes,<br />

independent of direct observations! This is not unlike big-bang nucleosynthesis<br />

where the primeval light-element abundances have been an<br />

extremely useful tool to study the properties of the primordial neutrino<br />

heat bath (Kolb and Turner 1990). At the present time, of course, a<br />

quantitative understanding of SN nucleosynthesis in conjunction with a<br />

quantitative understanding of SN explosions is a field in its infancy—it<br />

remains to be seen if it grows up to be <strong>as</strong> beautiful <strong>as</strong> big-bang nucleosynthesis.

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